3 papers
quant-ph2008★ 4 cited
A possible experimental check of the uncertainty relations by means of homodyne measuring photon quadrature
V. I. Man'ko, G. Marmo, A. Simoni +1
We suggest to use the photon homodyne detection experimental data for checking the Heisenberg and Schrödinger-Robertson uncertainty relations, by means of measuring optical tomogra…
quant-ph2007★ 12 cited
Ray space Riccati evolution and geometric phases for N-level quantum systems
S. Chaturvedi, E. Ercolessi, G. Marmo +3
We present a simple derivation of the matrix Riccati equations governing the reduced dynamics as one descends from the group U(N) describing the Schroedinger evolution of an N-leve…
quant-ph2001
Geometrical Aspects of Lie Groups Representations and Their Optical Applications
J. Guerrero, V. I. Manko, G. Marmo +1
In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We d…